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Matematicheskie Zametki, 2011, Volume 90, Issue 3, Pages 454–463
DOI: https://doi.org/10.4213/mzm9223 (Mi mzm9223) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Mean Values of the Function $\tau_k(n)$ in Sequences of Natural Numbers

K. M. Eminyan

N. E. Bauman Moscow State Technical University
Full-text PDF (450 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9223
Abstract: We obtain an asymptotic formula for the mean value of the function $\tau_k(n)$, which is the number of solutions of the equation $x_1\dotsb x_k=n$ in natural numbers $x_1,\dots,x_k$, in some special sequences of natural numbers.
Keywords: sequence of natural numbers, trigonometric sum, number system of base $q$, complex-valued function, inequality of the large sieve.
Received: 03.12.2009
Revised: 15.06.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 3, Pages 439–447
DOI: https://doi.org/10.1134/S0001434611090124
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: K. M. Eminyan, “On the Mean Values of the Function $\tau_k(n)$ in Sequences of Natural Numbers”, Mat. Zametki, 90:3 (2011), 454–463; Math. Notes, 90:3 (2011), 439–447
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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